Heavy flavour baryons containing one or two charm quarks with light flavour combinations are studied using the hyper central description of the three-body system. The confinement potential is assumed as hyper central coulomb plus power potential with power index ν. The ground state masses and the magnetic moments of charmed, J P = 1 2 + and 3 2 + baryons are computed for different power index, ν starting from 0.5 to 2.0. IntroductionThe investigation of properties of hadrons containing heavy quarks is of great interest in understanding the dynamics of QCD at the hadronic scale. There is renewed interest both experimentally and theoretically in the static properties of heavy flavour baryons such as mass and magnetic moments 1, 2, 3, 4, 5) .Many of the narrow hadron resonances observed recently, brought up surprises in QCD spectroscopy 6) . Recent years, experimental facilities at Belle, BABAR, DELPHI, CLEO, CDF etc have been successful in discovering heavy baryon states along with other heavy flavour mesonic states 4,7,8,9) and many new states are expected in near future. Baryons are not only the interesting systems to study the quark dynamics and their properties but are also interesting from the point of view of simple systems to study three body problems. All these reasons make the study of heavy flavour spectroscopy extremely important and interesting. Here, we employ the hyper central approach to study the three-body problem, particularly the baryons constituting one or two charm quarks. In the present study, the magnetic moments of heavy flavour baryons are computed based on nonrelativistic quark model.

The decay rates of QQ mesons (Q ε c, b) are studied in the NRQCD formalism in terms of their short distance and long distance coefficients. The long distance coefficients are obtained through phenomenological potential model description of the mesons. The model parameters that reproduces the mass spectrum of the cc, bb and cb mesons are employed to study the decay widths of these mesons. We extract the mass spectrum as well as the reproduces the respective radial wave functions from the different potential models as well as from non-relativistic phenomenological quark antiquark potential of the type V (r) = − αc r + Ar ν , with ν varying from 0.5 to 2. The spin hyperfine and spin-orbit interactions are employed to obtain the masses of the pseudoscalar and vector mesons. The decay constants with QCD corrections are computed in this model as well as in the case of other potential models for comparison. The digamma and dileptonic decays of cc, and bb mesons are investigated using some of the known potential models without and with radiative corrections up to the lowest order. These decay width are also computed within the NRQCD formalism up to O(v 4 ) by making uses of the respective spectroscopic parameters of the models. Our theoretical predictions of the decays of the cc, and bb mesons and the results obtained from some of the other potential schemes are compared with the experimental values. The partial widths and life time of the B c meson are also computed using the model parameters and are found to be in good accordance with the experimental values.pacs 12.39Jh, 12.40Yx, 13.20.Gd, 13.20Fc, 13.25.Hw,14.40.Nd

Triple heavy flavour baryons are studied using the hypercentral description of the three-body system. The confinement potential is assumed as hypercentral Coulomb plus power potential with power index p. The ground state (J P = 1 2 + and 3 2 + ) masses of heavy flavour baryons are computed for different power index, p starting from 0.5 to 2.0. The predicted masses are found to attain a saturated value with respect to variation in p beyond the power index p > 1.0. Using the spin-flavour structure of the constituting quarks and by defining effective mass of the confined quarks within the baryons, the magnetic moments are computed with no additional free parameters.

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